![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqvWnWKMfKxn5mNBt34Eq3hX2iHbnwEzo4aCyFA2_Ip437FmKzIfga5c1qdnuGwIrl3GC_MjvvNnOD0iWYyIfDLg0KeFdYq_r6BeWyaQ3r6JhpjmwHTOJcdYm_CdYdyS1WSe0KDX88sw/s400/Sierpinski+bw+1.png)
The standard version of Sierpinski's gasket is two colors. It is a simple fractal that is supposed to be created by infinite recursion, but I only have finitely many triangles, so this will have to do.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6jambFwKCG6uyv2nPMDa4lqyabfdDsAndiafY7QGpGX5-ICbtmInJIF5_SYBF_N_8M7j8L9n2PD74UM0LCpylVkEXVKuc7jtbXwUfUZTRKQMf1_IkFt2V2JSgBS72ASs-d813lSZZUw/s400/Sierpinski+4+color.png)
Here is a four color version of the gasket, using Pascal's triangle and mod 4 arithmetic. Four colors lets me make a bigger version, but some color will eventually be in short supply, this time it was the aquamarine.
I have an idea for how to make this using empty space as the most used shape. That should make a bigger version.
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